Course home

11.10 Solving Differential Equations

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Question 19

Express $1(1+4x)(1−x)\frac{1}{(1+4x)(1-x)}$ in partial fractions.

[3]

Hence find the solution of the differential equation

(1+4x)(1-x)\frac{dy}{dx} = \tan y

for the interval $−14<x<1-\frac{1}{4} < x < 1$ , given that $\frac{\pi}{2}$ when $x = 0$ .

Give your answer in the form $sin^n y = f(x)$ where $n$ is an integer to be found.

[6]

Markscheme

11.10 Solving Differential Equations Questions

A Level
Maths
11.10 Solving Differential Equations

34 exam-style questions on Edexcel A Level Maths 11.10 Solving Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.

11.10 Solving Differential Equations

Question bank

11.10 Solving Differential Equations

Medium Hard

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21

Question 19

Express $1(1+4x)(1−x)\frac{1}{(1+4x)(1-x)}$ in partial fractions.

[3]

Hence find the solution of the differential equation

(1+4x)(1-x)\frac{dy}{dx} = \tan y

for the interval $−14<x<1-\frac{1}{4} < x < 1$ , given that $\frac{\pi}{2}$ when $x = 0$ .

Give your answer in the form $sin^n y = f(x)$ where $n$ is an integer to be found.

[6]

Markscheme

11.10 Solving Differential Equations Questions

A Level
Maths
11.10 Solving Differential Equations

34 exam-style questions on Edexcel A Level Maths 11.10 Solving Differential Equations. Each one has a worked solution and a mark scheme showing where the marks go.